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Finding the Fourth Proportional to 11,906.64, 16,408.50 and 8,720.91

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Solution

The fourth proportional to 11,906.64, 16,408.50 and 8,720.91 is: 12,018.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,906.64 : 16,408.50 = 8,720.91 : x
  2. Step 2: Convert to fraction form
    11,906.64/16,408.50 = 8,720.91/x
  3. Step 3: Cross multiply
    11,906.64x = 16,408.50 × 8,720.91
  4. Step 4: Simplify right side
    11,906.64x = 143,097,051.74
  5. Step 5: Solve for x
    x = 143,097,051.74/11,906.64
  6. Step 6: Final answer
    x = 12,018.26

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.